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Finding the Third Proportional to 2,756,201,727 and 6,048,094,470

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Solution

The third proportional to 2,756,201,727 and 6,048,094,470 is: 13,271,687,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,201,727 : 6,048,094,470 = 6,048,094,470 : x
  2. Step 2: Convert to fraction form
    2,756,201,727/6,048,094,470 = 6,048,094,470/x
  3. Step 3: Cross multiply
    2,756,201,727x = 6,048,094,470 × 6,048,094,470
  4. Step 4: Simplify right side
    2,756,201,727x = 36,579,446,718,044,581,888
  5. Step 5: Solve for x
    x = 36,579,446,718,044,581,888/2,756,201,727
  6. Step 6: Final answer
    x = 13,271,687,032.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.